We survey Weber's class number problem and its variants in the spirit of arithmetic topology; we recollect some history, present a relation to certain units and generalized Pell's equation, and overview a study of the $p$-adic limits of class numbers in $\mathbb{Z}_p$-towers together with numerical investigation for knots and elliptic curves
Inside this thesis one can find a study, based on the work of professor Kuniaki Horie, of the non-p-...
Gauss' class number problem is that of finding an upper bound for |D| with given class number h(D) ...
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the ex...
We study a generalization of Pell's equation, whose coefficients are certain algebraic integers. Let...
In this thesis we present the main theorems of global class field theory stated in terms of ideals a...
The determination of the class number of totally real fields of large discriminant is known to be a ...
International audienceA generalised Weber function is given by $\w_N(z) = \eta(z/N)/\eta(z)$, where ...
This thesis contains several pieces of work related to the 2-part of class groups and Diophantine eq...
This thesis focuses on the so-called Greenberg Conjecture in Iwasawa theory, stating that the class ...
International audienceA generalised Weber function is given by $\w_N(z) = \eta(z/N)/\eta(z)$, where ...
International audienceA generalised Weber function is given by $\w_N(z) = \eta(z/N)/\eta(z)$, where ...
The Hilbert class polynomial has as roots the j-invariants of elliptic curves whose endomorphism rin...
This thesis focuses on the so-called Greenberg Conjecture in Iwasawa theory, stating that the class ...
This book gathers original research papers and survey articles presented at the “International Confe...
Let k be a number field of finite degree and k an algebraic closure of k, and let E/k be an elliptic...
Inside this thesis one can find a study, based on the work of professor Kuniaki Horie, of the non-p-...
Gauss' class number problem is that of finding an upper bound for |D| with given class number h(D) ...
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the ex...
We study a generalization of Pell's equation, whose coefficients are certain algebraic integers. Let...
In this thesis we present the main theorems of global class field theory stated in terms of ideals a...
The determination of the class number of totally real fields of large discriminant is known to be a ...
International audienceA generalised Weber function is given by $\w_N(z) = \eta(z/N)/\eta(z)$, where ...
This thesis contains several pieces of work related to the 2-part of class groups and Diophantine eq...
This thesis focuses on the so-called Greenberg Conjecture in Iwasawa theory, stating that the class ...
International audienceA generalised Weber function is given by $\w_N(z) = \eta(z/N)/\eta(z)$, where ...
International audienceA generalised Weber function is given by $\w_N(z) = \eta(z/N)/\eta(z)$, where ...
The Hilbert class polynomial has as roots the j-invariants of elliptic curves whose endomorphism rin...
This thesis focuses on the so-called Greenberg Conjecture in Iwasawa theory, stating that the class ...
This book gathers original research papers and survey articles presented at the “International Confe...
Let k be a number field of finite degree and k an algebraic closure of k, and let E/k be an elliptic...
Inside this thesis one can find a study, based on the work of professor Kuniaki Horie, of the non-p-...
Gauss' class number problem is that of finding an upper bound for |D| with given class number h(D) ...
One of the aims of algebraic number theory is to describe the field of algebraic numbers and the ex...